0
No, never. A trapezoid may have diagonals of equal length (isosceles trapezoid), but they do not intersect at their midpoints.
Draw the diagonals of a trapezoid, for example, an isosceles trapezoid, thereby creating 4 triangles inside the trapezoid. Now assume the diagonals do bisect each other. The congruent corresponding sides of the top and bottom triangles with the included vertical angle would make the triangles congruent by the side-angle-side theorem. But this is a contradiction since the respective bases of the triangles, forming the top and bottom of the trapezoid are, of course, not equal. Therefore, the triangles cannot be congruent. Hence, we have given proof by contradiction that diagonals in a trapezoid cannot bisect each other.
Add your answer:
Earn +20 pts
Do the diagonals in a trapezoid bisect each other?
no
What shape has diagonals which do not bisect each other?
Trapezoid.
Does The diagonals of a isosceles trapezoid bisect each other?
Yes
What shape has 2 congruent diagonals that do not bisect?
A trapezoid Trapezoid - 2 congruent diagonals that do not bisect each other. No right angles and has 1 pair of opposite parallel sides.
Does a kite have diagonals that bisect each other?
Yes the diagonals of a kite bisect each other at 90 degrees.
Does an isosceles trapezoid have diagonals that bisect each other?
An isosceles trapezoid, or any trapezoid, does not have diagonals that bisect each other.
Are the diagonals of a trapezoid bisectors?
No, the diagonals of a trapezoid do not necessarily bisect each other. Only in an isosceles trapezoid, where the two non-parallel sides are congruent, will the diagonals bisect each other. In a general trapezoid, the diagonals do not bisect each other.
Do the diagonals in a trapezoid bisect each other?
no
Do the diagonals bisect each other on a trapezoid?
No.
Do trapezoid diagonals bisect each other?
No.
The diagonals of a trapezoid bisect each other?
Usually they do not, but in an isosceles trapezoid they do.
What shape has diagonals which do not bisect each other?
Trapezoid.
Does The diagonals of a isosceles trapezoid bisect each other?
Yes
The diagonals of a trapezoid bisect each other true or false?
False.
What type of quadrilateral has congruent diagonals that do not bisect each other?
a trapezoid
What quadrilateral can have no right angles and diagonals do not bisect each other?
trapezoid
What is an example of a quadrilateral with diagonals that are congruent but do not bisect each other?
trapezoid
